Finding the Third Proportional to 10,021 and 19,274

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021 : 19,274 = 19,274 : x
2. Step 2: Convert to fraction form
   10,021/19,274 = 19,274/x
3. Step 3: Cross multiply
   10,021x = 19,274 × 19,274
4. Step 4: Simplify right side
   10,021x = 371,487,076
5. Step 5: Solve for x
   x = 371,487,076/10,021
6. Step 6: Final answer
   x = 37,070.86